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130103013300 = 2235213113295219
BaseRepresentation
bin111100100101010111…
…1100110111110110100
3110102211002202212022020
41321022233212332310
54112422332411200
6135433555033140
712254034236451
oct1711257467664
9412732685266
10130103013300
11501a3839597
122126b29b7b0
13c365331a50
146423042828
1535b6e10ea0
hex1e4abe6fb4

130103013300 has 144 divisors (see below), whose sum is σ = 408976532160. Its totient is φ = 31741839360.

The previous prime is 130103013289. The next prime is 130103013301. The reversal of 130103013300 is 3310301031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130103013300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130103013301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293091 + ... + 588309.

Almost surely, 2130103013300 is an apocalyptic number.

130103013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130103013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204488266080).

130103013300 is an abundant number, since it is smaller than the sum of its proper divisors (278873518860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130103013300 is a wasteful number, since it uses less digits than its factorization.

130103013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295362 (or 295355 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 130103013300 its reverse (3310301031), we get a palindrome (133413314331).

The spelling of 130103013300 in words is "one hundred thirty billion, one hundred three million, thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 113 130 150 156 195 226 260 300 325 339 390 452 565 650 678 780 975 1130 1300 1356 1469 1695 1950 2260 2825 2938 3390 3900 4407 5650 5876 6780 7345 8475 8814 11300 14690 16950 17628 22035 29380 33900 36725 44070 73450 88140 110175 146900 220350 295219 440700 590438 885657 1180876 1476095 1771314 2952190 3542628 3837847 4428285 5904380 7380475 7675694 8856570 11513541 14760950 15351388 17713140 19189235 22141425 23027082 29521900 33359747 38378470 44282850 46054164 57567705 66719494 76756940 88565700 95946175 100079241 115135410 133438988 166798735 191892350 200158482 230270820 287838525 333597470 383784700 400316964 433676711 500396205 575677050 667194940 833993675 867353422 1000792410 1151354100 1301030133 1667987350 1734706844 2001584820 2168383555 2501981025 2602060266 3335974700 4336767110 5003962050 5204120532 6505150665 8673534220 10007924100 10841917775 13010301330 21683835550 26020602660 32525753325 43367671100 65051506650 130103013300